Finding the Third Proportional to 50,466 and 78,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,466 : 78,364.50 = 78,364.50 : x
2. Step 2: Convert to fraction form
   50,466/78,364.50 = 78,364.50/x
3. Step 3: Cross multiply
   50,466x = 78,364.50 × 78,364.50
4. Step 4: Simplify right side
   50,466x = 6,140,994,860.25
5. Step 5: Solve for x
   x = 6,140,994,860.25/50,466
6. Step 6: Final answer
   x = 121,685.79